Is it possible to convert a procedural texture into actual geometry?
Particle is a nice idea to do this, and it is possible to control the volumetric density by procedual texture:



Demo file



Edit:

As MarcClinton mentioned in comment, a nice addon called MSMesher can be a relatively nice solution:



The result looks similar to metaballs, which means, to generate a sharper shape, further remeshing would be considered.